{
  "annotation_id": "6ee71e39-6288-4b36-a4b8-21694876a9c5",
  "date_created": "2026-03-02T18:01:18.502000Z",
  "date_modified": "2026-03-02T18:01:18.502000Z",
  "file_hash": "37b7f2beeb46e697dfd880f8e64e0fce77f0df68ddc4b32c277688b09030866a",
  "private": false,
  "record": {
    "abstract": "This work identifies geometric effects on dynamics due to nonadiabatic\ncouplings in Born Oppenheimer systems and provides a systematic method for\nderiving corrections to mixed quantum-classical methods. Specifically, an exact\npath integral formulation of the quantum nonadiabatic dynamics of Born\nOppenheimer systems is described. Stationary phase approximations to the\npropagator for full quantum dynamics are derived. It is shown that quantum\ncorrections to mixed quantum classical methods can be obtained through\nstationary phase approximations to the full quantum dynamics. A rigorous\ndescription of the quantum corrections due to electronic nonadiabatic coupling\non the nuclear dynamics within the Ehrenfest framework is obtained. The fewest\nswitches surface hopping method is shown to be obtained as a quasiclassical\napproximation to the dynamics and natural semiclassical extensions to include\nclassically forbidden nonadiabatic transitions are suggested.",
    "arxiv_id": "physics/0702220",
    "authors": [
      "Vinod Krishna"
    ],
    "categories": [
      "physics.chem-ph",
      "cond-mat.mtrl-sci",
      "quant-ph"
    ],
    "doi": "10.1063/1.2716387",
    "journal_ref": "J. Chem. Phys. 126, 134107 (2007)",
    "title": "Path integral formulation for quantum nonadiabatic dynamics and the   mixed quantum-classical limit",
    "url": "https://arxiv.org/abs/physics/0702220"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f8fcf225-92e5-423e-a4d2-4eea186e8b4d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}